Question

Perpendicular to y=-3x+11 and goes through the point (-9,-6)
please help it’s due next period

Answer 1

y = 1/3x - 3

Explanation:

If the line is perpendicular to y = -3x + 11, it means that the two gradients multiply to make -1.

So the gradient of the perpendicular line is 1/3 (-3 × 1/3 = -1)

y = 1/3x + c

Next, substitute x = -9, and y = -6 to find the y intercept, or c:

-6 = 1/3(-9) + c

-6 = -3 + c

c = -6 + 3

c = -3

The equation of the line is y = 1/3x - 3